![](\"resources/question-resources/matrix_add.gif\")
If $ A= \\left( \\begin{array}{ccc} a_{11} & a_{12} \\\\ a_{21} & a_{22} \\\\ a_{31} & a_{32} \\end{array} \\right) $ and $ B= \\left( \\begin{array}{ccc} b_{11} & b_{12} \\\\ b_{21} & b_{22} \\\\ b_{31} & b_{32} \\end{array} \\right) $ then
\n$A+B=\\left( \\begin{array}{ccc} a_{11}+b_{11} & a_{12}+b_{12} \\\\ a_{21}+b_{21} & a_{22}+b_{22} \\\\ a_{31}+b_{31} & a_{32}+b_{32} \\end{array} \\right)$
", "advice": "Addition is achieved by subtracting corresponding elements:
\n
Using this technique results in:
\n$A=\\var{A}$ $B=\\var{A2}$
\n\n
$A-B=\\var{ad1}$
\n\n
\n
$C=\\var{B}$ $D=\\var{B2}$
\n\n
$C-D=\\var{ad2}$
\n\n
\n
$E=\\var{C}$ $F=\\var{C2}$
\n\n
$E-F=\\var{ad3}$
\n\n
\n
$G=\\var{D}$ $H=\\var{D2}$
\n\n
$G-H=\\var{ad4}$
\n\n
\n
$I=\\var{EE}$ $J=\\var{EE2}$
\n$I-J=\\var{ad5}$
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\n\n
$A+B=$ [[0]]
\n\n
\n
$C=\\var{B}$ $D=\\var{B2}$
\n\n
$C+D=$ [[1]]
\n\n
\n
$E=\\var{C}$ $F=\\var{C2}$
\n\n
$E+F=$ [[2]]
\n\n
\n
$G=\\var{D}$ $H=\\var{D2}$
\n\n
$G+H=$ [[3]]
\n\n
\n
$I=\\var{EE}$ $J=\\var{EE2}$
\n\n
$I+J=$ [[4]]
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